1. You activate Inkmoth Nexus and it becomes a 1/1 creature.
2. As the Active Player, you get priority when a spell or ability resolves. You activate Tezzeret's second ability targeting Inkmoth Nexus.
3. Each player gets priority before a spell or ability resolves. Your opponent can cast Gut Shot targetting Inkmoth Nexus. It will go on top of the stack.
4. The stack resolves from the top down, so Gut Shot deals 1 damage to Nexus. Inkmoth Nexus dies.
5. Tezzeret's ability fizzles because its target is no longer legal.

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